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154080 = 25325107
BaseRepresentation
bin100101100111100000
321211100200
4211213200
514412310
63145200
71211133
oct454740
9254320
10154080
11a5843
1275200
1355194
144021a
15309c0
hex259e0

154080 has 72 divisors (see below), whose sum is σ = 530712. Its totient is φ = 40704.

The previous prime is 154079. The next prime is 154081. The reversal of 154080 is 80451.

It is an interprime number because it is at equal distance from previous prime (154079) and next prime (154081).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1387 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2154080 is an apocalyptic number.

154080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356).

154080 is an abundant number, since it is smaller than the sum of its proper divisors (376632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154080 is a wasteful number, since it uses less digits than its factorization.

154080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 154080 is about 392.5302536111. The cubic root of 154080 is about 53.6103640759.

It can be divided in two parts, 15 and 4080, that added together give a triangular number (4095 = T90).

The spelling of 154080 in words is "one hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1605 1712 1926 2140 2568 3210 3424 3852 4280 4815 5136 6420 7704 8560 9630 10272 12840 15408 17120 19260 25680 30816 38520 51360 77040 154080